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/usr/local/lib/python3.7/dist-packages (from numba>=0.49->umap-learn) (57.0.0)\n","Building wheels for collected packages: sentence-transformers, umap-learn, pynndescent\n","  Building wheel for sentence-transformers (setup.py) ... \u001b[?25l\u001b[?25hdone\n","  Created wheel for sentence-transformers: filename=sentence_transformers-1.2.0-cp37-none-any.whl size=123339 sha256=facdd051b84d2c2ce0dcebab857c634516c5d595f51d37a6b0126af51fd56f8b\n","  Stored in directory: /root/.cache/pip/wheels/0f/06/f7/faaa96fdda87462b4fd5c47b343340e9d5531ef70d0eef8242\n","  Building wheel for umap-learn (setup.py) ... \u001b[?25l\u001b[?25hdone\n","  Created wheel for umap-learn: filename=umap_learn-0.5.1-cp37-none-any.whl size=76569 sha256=ff2183720276076a2f587551d22f98afc8fcc59b1106201390b9f243d5e41efe\n","  Stored in directory: /root/.cache/pip/wheels/ad/df/d5/a3691296ff779f25cd1cf415a3af954b987fb53111e3392cf4\n","  Building wheel for pynndescent (setup.py) ... \u001b[?25l\u001b[?25hdone\n","  Created wheel for pynndescent: filename=pynndescent-0.5.2-cp37-none-any.whl size=51362 sha256=8507438637dc7671b9d26d7145c88572629a8da22e567de55657e2d5e2a76169\n","  Stored in directory: /root/.cache/pip/wheels/ba/52/4e/4c28d04d144a28f89e2575fb63628df6e6d49b56c5ddd0c74e\n","Successfully built sentence-transformers umap-learn pynndescent\n","\u001b[31mERROR: transformers 4.6.1 has requirement huggingface-hub==0.0.8, but you'll have huggingface-hub 0.0.9 which is incompatible.\u001b[0m\n","Installing collected packages: sacremoses, tokenizers, huggingface-hub, transformers, sentencepiece, sentence-transformers, xxhash, fsspec, datasets, pynndescent, umap-learn\n","Successfully installed datasets-1.7.0 fsspec-2021.5.0 huggingface-hub-0.0.9 pynndescent-0.5.2 sacremoses-0.0.45 sentence-transformers-1.2.0 sentencepiece-0.1.95 tokenizers-0.10.3 transformers-4.6.1 umap-learn-0.5.1 xxhash-2.0.2\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"3JmYGWL4WzTQ"},"source":[""],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"K8vsmcDDWEkT"},"source":["Tatoeba is a collection of sentences and translations."]},{"cell_type":"code","metadata":{"id":"z4LxAo4kH853","colab":{"base_uri":"https://localhost:8080/","height":669,"referenced_widgets":["805745b7050c4eb5a3b1c1ab1d545d92","4f346291a3e54cb0b31a9eb858bde1eb","b3f09a1ec12c453893f2f79d1826689e","0479d01737874295afcfd69a3f1b9322","9aaa6e33fce44ea29a7ecd0ae510525c","ffa39b09287743a3a470a762e30e4936","91a6d981e97d4c0597beaea572cad19f","59db3d45cd4e4d47bd664960193c83ef","bb58b489ccb84f7e8c9b68ceaf7642b9","125c308d27f44f37b890a538a23e97d5","23ef7be084c14a2bb67c48e975c939f1","939aad244f3c43d390a8a04cce9e1ebf","7ef6b5934dd04eb688b913ddd42ecf46","2998931bb5da44c8a0fa6a6989af8244","99e312fff5c542a6929fa82b1b0d8c77","015809c7086549feb1db57145888464c","28adeefe324d446f96f10dbe815664d3","08647e0650654ef38a11805f8810fd75","3a7e45fecffa4a7383414179c4b8e009","cfa87df1f2144f719e605e9510cec7ea","61fb4137cedb479aa8c5ebf9d8e5c1eb","eb5b1851eb0b42b988de0741b5d5f0e3","145c3a4d128249e1aa3671f4746571a9","c1725dc41666442eaa761be301ca730e","4c9112485fe54311a1397a6d738622fc","093fbc47f0c240eabdb2e7f155777cab","d1387370c4b6452eba815b5dc8fcf299","f9818055db844a84a2e8cd79b852f5f6","5a33ddf86bb74e1996a47ca3713d7225","99bd6fbe13164ccf98bfecdca95b317c","a072e8543cf5427c9d17d82dd440bc93","2d346117e88f4915acb5df375e45bdc2","2f6256f250ed4fe5958649cd513e6f85","d493cb4261bf4825ae65e5d2892684cb","d79d9d306b34483f9afdaebd0252f519","fc2f36d53ee7438da3331342c68eaf7e","d58881e26c834406a4cb569706640799","da3e5e792e6f4c52a45fee18965d0d9a","e99fd1bbae45409583f19e106b76e6b3","37a1b5add2f249e394c2cbc929fb1b23"]},"executionInfo":{"status":"ok","timestamp":1623054626897,"user_tz":-180,"elapsed":6855,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"e10e4112-df4c-4cf3-bc19-f500e7efb6b3"},"source":["from datasets import load_dataset\n","import pandas as pd\n","data=load_dataset(\"xtreme\",\"tatoeba.rus\", split=\"validation\")\n","pd.DataFrame(data)[[\"source_sentence\",\"target_sentence\"]]"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"application/vnd.jupyter.widget-view+json":{"model_id":"805745b7050c4eb5a3b1c1ab1d545d92","version_minor":0,"version_major":2},"text/plain":["HBox(children=(FloatProgress(value=0.0, description='Downloading', max=8972.0, style=ProgressStyle(description…"]},"metadata":{"tags":[]}},{"output_type":"stream","text":["\n"],"name":"stdout"},{"output_type":"display_data","data":{"application/vnd.jupyter.widget-view+json":{"model_id":"bb58b489ccb84f7e8c9b68ceaf7642b9","version_minor":0,"version_major":2},"text/plain":["HBox(children=(FloatProgress(value=0.0, description='Downloading', max=22940.0, style=ProgressStyle(descriptio…"]},"metadata":{"tags":[]}},{"output_type":"stream","text":["\n","Downloading and preparing dataset xtreme/tatoeba.rus (download: 90.30 KiB, generated: 207.51 KiB, post-processed: Unknown size, total: 297.81 KiB) to /root/.cache/huggingface/datasets/xtreme/tatoeba.rus/1.0.0/7bf67e71297af51aebad531f84e824cf5c995d9ce994485f7cd2e90d9cc4d555...\n"],"name":"stdout"},{"output_type":"display_data","data":{"application/vnd.jupyter.widget-view+json":{"model_id":"28adeefe324d446f96f10dbe815664d3","version_minor":0,"version_major":2},"text/plain":["HBox(children=(FloatProgress(value=0.0, description='Downloading', max=17229.0, style=ProgressStyle(descriptio…"]},"metadata":{"tags":[]}},{"output_type":"stream","text":["\n"],"name":"stdout"},{"output_type":"display_data","data":{"application/vnd.jupyter.widget-view+json":{"model_id":"4c9112485fe54311a1397a6d738622fc","version_minor":0,"version_major":2},"text/plain":["HBox(children=(FloatProgress(value=0.0, description='Downloading', max=13294.0, style=ProgressStyle(descriptio…"]},"metadata":{"tags":[]}},{"output_type":"stream","text":["\n"],"name":"stdout"},{"output_type":"display_data","data":{"application/vnd.jupyter.widget-view+json":{"model_id":"2f6256f250ed4fe5958649cd513e6f85","version_minor":0,"version_major":2},"text/plain":["HBox(children=(FloatProgress(value=1.0, bar_style='info', max=1.0), HTML(value='')))"]},"metadata":{"tags":[]}},{"output_type":"stream","text":["\rDataset xtreme downloaded and prepared to /root/.cache/huggingface/datasets/xtreme/tatoeba.rus/1.0.0/7bf67e71297af51aebad531f84e824cf5c995d9ce994485f7cd2e90d9cc4d555. Subsequent calls will reuse this data.\n"],"name":"stdout"},{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>source_sentence</th>\n","      <th>target_sentence</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>0</th>\n","      <td>Я знаю много людей, у которых нет прав.\\n</td>\n","      <td>I know a lot of people who don't have driver's...</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>У меня много знакомых, которые не умеют играть...</td>\n","      <td>I know a lot of people who don't know how to p...</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>Мой начальник отпустил меня сегодня пораньше.\\n</td>\n","      <td>My boss let me leave early today.\\n</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>Я загорел на пляже.\\n</td>\n","      <td>I tanned myself on the beach.\\n</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>Вы сегодня проверяли почту?\\n</td>\n","      <td>Have you checked your email today?\\n</td>\n","    </tr>\n","    <tr>\n","      <th>...</th>\n","      <td>...</td>\n","      <td>...</td>\n","    </tr>\n","    <tr>\n","      <th>995</th>\n","      <td>Что сказал врач?\\n</td>\n","      <td>What did the doctor say?\\n</td>\n","    </tr>\n","    <tr>\n","      <th>996</th>\n","      <td>Я рад, что ты сегодня здесь.\\n</td>\n","      <td>I'm glad you're here today.\\n</td>\n","    </tr>\n","    <tr>\n","      <th>997</th>\n","      <td>Фермеры пригнали в деревню пять волов, девять ...</td>\n","      <td>The farmers had brought five oxen and nine cow...</td>\n","    </tr>\n","    <tr>\n","      <th>998</th>\n","      <td>Жужжание пчёл заставляет меня немного нервнича...</td>\n","      <td>The buzzing of the bees makes me a little nerv...</td>\n","    </tr>\n","    <tr>\n","      <th>999</th>\n","      <td>С каждым годом они становились всё беднее.\\n</td>\n","      <td>From year to year they were growing poorer.\\n</td>\n","    </tr>\n","  </tbody>\n","</table>\n","<p>1000 rows × 2 columns</p>\n","</div>"],"text/plain":["                                       source_sentence                                    target_sentence\n","0            Я знаю много людей, у которых нет прав.\\n  I know a lot of people who don't have driver's...\n","1    У меня много знакомых, которые не умеют играть...  I know a lot of people who don't know how to p...\n","2      Мой начальник отпустил меня сегодня пораньше.\\n                My boss let me leave early today.\\n\n","3                                Я загорел на пляже.\\n                    I tanned myself on the beach.\\n\n","4                        Вы сегодня проверяли почту?\\n               Have you checked your email today?\\n\n","..                                                 ...                                                ...\n","995                                 Что сказал врач?\\n                         What did the doctor say?\\n\n","996                     Я рад, что ты сегодня здесь.\\n                      I'm glad you're here today.\\n\n","997  Фермеры пригнали в деревню пять волов, девять ...  The farmers had brought five oxen and nine cow...\n","998  Жужжание пчёл заставляет меня немного нервнича...  The buzzing of the bees makes me a little nerv...\n","999       С каждым годом они становились всё беднее.\\n      From year to year they were growing poorer.\\n\n","\n","[1000 rows x 2 columns]"]},"metadata":{"tags":[]},"execution_count":2}]},{"cell_type":"markdown","metadata":{"id":"xoNiwyXEWDmI"},"source":[""]},{"cell_type":"code","metadata":{"id":"W4mKLynoJGmP","colab":{"base_uri":"https://localhost:8080/","height":66,"referenced_widgets":["4eecd76780234044acb7327cff218450","e4cec86096bf4ffcba63c3ea17085008","91d97c3630ac406ea53991a4207dacd9","51586e30593a43a6b593c1e6093a9151","054e549d7da94567a22ed357f0682a3f","1d9163a6593a4e3d8df11c778efa889f","3d9f29708f0148bfb29a6df8c7c2c400","a84a87692b5c43b99a38e1487d32bf80"]},"executionInfo":{"status":"ok","timestamp":1623054729772,"user_tz":-180,"elapsed":96408,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"e3e6a534-02df-49a7-da0a-c565d21ba7cd"},"source":["from sentence_transformers import SentenceTransformer \n","model = SentenceTransformer(\"stsb-xlm-r-multilingual\") "],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"application/vnd.jupyter.widget-view+json":{"model_id":"4eecd76780234044acb7327cff218450","version_minor":0,"version_major":2},"text/plain":["HBox(children=(FloatProgress(value=0.0, max=1013951149.0), HTML(value='')))"]},"metadata":{"tags":[]}},{"output_type":"stream","text":["\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"6-L_LWfvK3bv","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1623054765012,"user_tz":-180,"elapsed":6364,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"81f0c2f9-a4d0-4ff1-8ce5-c025f1886b71"},"source":["K=30\n","emb=model.encode(data[\"source_sentence\"][:K]  + data[\"target_sentence\"][:K])\n","len(emb), len(emb[0])"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(60, 768)"]},"metadata":{"tags":[]},"execution_count":4}]},{"cell_type":"code","metadata":{"id":"yPzxKIo3Lxbd"},"source":[""],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":700},"id":"MOtVMaCGMXeP","executionInfo":{"status":"ok","timestamp":1623054789710,"user_tz":-180,"elapsed":21056,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"d992e305-b94e-4bea-93fb-1ba2bf21ff75"},"source":["import matplotlib.pyplot as plt\n","import numpy as np\n","import umap\n","import pylab\n","\n","X= umap.UMAP(n_components=2, random_state=42).fit_transform(emb)\n","idx= np.arange(len(emb))\n","\n","fig, ax = plt.subplots(figsize=(12, 12))\n","ax.set_facecolor('whitesmoke')\n","\n","cm = pylab.get_cmap(\"prism\")\n","colors = list(cm(1.0*i/K) for i in range(K))\n","\n","for i in idx:\n","    if i<K:\n","        ax.annotate(\"RUS-\"+str(i), (X[i,0], X[i,1]), c=colors[i])\n","        ax.plot((X[i,0], X[i+K,0]), (X[i,1], X[i+K,1]), \"k:\" )\n","    else:\n","        ax.annotate(\"EN-\"+str(i%K), (X[i,0], X[i,1]), c=colors[i%K])\n","      "],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 864x864 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"cAAyhfompH_I"},"source":["let us compare entire sentence pairs"]},{"cell_type":"code","metadata":{"id":"2sPxWELNNIhz"},"source":["source_emb=model.encode(data[\"source_sentence\"])\n","target_emb=model.encode(data[\"target_sentence\"])"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"GeSM59JPtwrd"},"source":[""],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":265},"id":"UF1pXbEZTfsN","executionInfo":{"status":"ok","timestamp":1623054800734,"user_tz":-180,"elapsed":444,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"16eccb00-6402-41b7-f0d0-fc3fd7383602"},"source":["from scipy import spatial\n","from matplotlib import pyplot\n","sims=[ 1 - spatial.distance.cosine(s,t) for s,t in zip(source_emb, target_emb)]\n","pyplot.hist(sims, bins=100, range=(0.8,1))\n","pyplot.show()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"SW-_vSO7nsK0","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1623054803652,"user_tz":-180,"elapsed":316,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"b5e185b4-8d8c-4e90-b17d-a677c58b589c"},"source":["np.mean(sims), np.std(sims)"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(0.9464540086090565, 0.0825926305536311)"]},"metadata":{"tags":[]},"execution_count":8}]},{"cell_type":"code","metadata":{"id":"KtUUoJZ3lFH5"},"source":[""],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"nwR7J39D5KVV"},"source":[""],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"AU0PZ42f5wzn"},"source":[""],"execution_count":null,"outputs":[]}]}